In a bag of candy, the probability that an orange candy is chosen is 0.55 and the probability that a green is chosen is 0.45. A person reaches into the bag of candy and chooses two. If X is the number of green candy pieces chosen, find the probability that has 0, 1, or 2 green pieces chosen. (a) Draw a tree diagram showing the possibilities for each outcome. (b) Create the binomial distribution table for . Show all your work.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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1. In a bag of candy, the probability that an orange candy is chosen is 0.55 and the probability that a green is chosen is 0.45. A person reaches into the bag of candy and chooses two. If X is the number of green candy pieces chosen, find the probability that has 0, 1, or 2 green pieces chosen.

(a) Draw a tree diagram showing the possibilities for each outcome.

(b) Create the binomial distribution table for . Show all your work.

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